434535400 has 96 divisors (see below), whose sum is σ = 1117662840. Its totient is φ = 156072960.

The previous prime is 434535383. The next prime is 434535403. The reversal of 434535400 is 4535434.

It can be written as a sum of positive squares in 12 ways, for example, as 2643876 + 431891524 = 1626^2 + 20782^2 .

It is not an unprimeable number, because it can be changed into a prime (434535403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93942 + ... + 98458.

Almost surely, 2^434535400 is an apocalyptic number.

434535400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434535400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558831420).

434535400 is an abundant number, since it is smaller than the sum of its proper divisors (683127440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434535400 is a wasteful number, since it uses less digits than its factorization.

434535400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4583 (or 4574 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 434535400 is about 20845.5127065755. The cubic root of 434535400 is about 757.4286368016.

The spelling of 434535400 in words is "four hundred thirty-four million, five hundred thirty-five thousand, four hundred".